Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638444 | Journal of Computational and Applied Mathematics | 2015 | 5 Pages |
Abstract
This note presents explicit expressions for the inverses of the Gram matrix of the Bernstein basis and its principal submatrices, by taking the advantages of the transformations between the Bernstein basis and the constrained dual Bernstein basis. Using the symmetry property, fast calculation of these matrices and their inverses is achieved. Significant improvements are obtained for applications including polynomial approximation of functions and degree reduction of Bézier curves.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lizheng Lu,